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Circle Geometry Review

Total questions: 36

Worksheet time: 2hrs 52mins

Name
Class
Date
1.

What is the value of x with a reason?

a)

112°112\degree

b)

56°56\degree

c)

The angle at the center is equal to twice the angle at the circumference.

d)

The angle at the center is equal to the angle at the circumference.

2.

What is the value of angle D in the given circle? With a reason.
Given:  Angle B is =27°Angle\ B\ is\ =27\degree  

a)

 27°27\degree  

b)

 54°54\degree  

c)

Angle in the same segment.

d)

Interior angles in a triangle equal  180°180\degree  

3.
Name a chord.
a)
Segment XC
b)
Segment KM
c)
Segment HJ
d)
LINE BD
4.

If a line segment in drawn from the center of a circle onto a chord, what happens with the chord?

a)

The chord disappears.

b)

The chord is bisected.

c)

The angles are 90 degrees.

d)

The line from the center is perpendicular to the chord.

5.

If a line is drawn from the center of a circle to the chord and it bisects the chord, what will the relationship between this line and the chord be?

a)

They will be perpendicular

b)

They will be parallel

c)

They will be equal

d)

The chord will be bisected

6.
A line that intersects a circle at exactly one point
a)
secant
b)
circle
c)
chord
d)
tangent
7.
Find a.
a)
30
b)
21
c)
60
d)
120
8.
Determine y.
a)
30
b)
60
c)
90
d)
180
9.
Calculate q.
a)
40
b)
140
c)
128
d)
52
10.

Line CE is a perpendicular bisector for line AB.

If line CD is a measure of 6.0 cm, and line AB is a measure of 10.0 cm, what is the length of CF?

a)

10 cm

b)

6 cm

c)

7.8 cm

d)

5 cm

11.
a)
Secant
b)
Diameter
c)
Radius
d)
Chord
12.
a)
Secant
b)
Diameter
c)
Radius
d)
Chord
13.
a)
Inscribed Angle
b)
Central Angle 
14.
a)
diameter
b)
radius
c)
center
15.
a)
center
b)
diameter
c)
radius
16.
a)
center
b)
diameter
c)
radius
17.
What is AB?
a)
diameter
b)
center
c)
circumference
d)
radius
18.

The radius is ___________ the length of the diameter.

a)

twice

b)

half

c)

three times

d)

equal to

19.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
20.
Determine x.
a)
32
b)
16
c)
64
d)
21
21.
Find x
a)
10
b)
5
c)
18
d)
9
22.
Find the radius r
a)
2
b)
3
c)
4
d)
5
23.
Find x.
a)
4.4
b)
8.3
c)
9.4
d)
8.8
24.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
25.

Which of the following diagrams shows two marked angles that are equal?

a)
b)
c)
d)
26.
A tangent line intersecting with a radius always creates a ____________ angle
a)
right
b)
acute
c)
obtuse
d)
straight
27.
a)
A
b)
B
c)
C
d)
D
28.

solve for f

a)

7

b)

14

c)

21

d)

not enough information to solve

29.

solve for the missing angle

a)

45 degrees

b)

90 degrees

c)

100 degrees

d)

not enough information to answer

30.

∠ D = 90°

∠ A = ??

a)

180°

b)

90°

c)

45°

d)

25°

31.

∠ A = 70°

∠ D = ??

a)

90°

b)

280°

c)

140°

d)

70°

32.

What is the value of x?

(a)  

33.

What is the value of x?

(a)  

34.

Choose the correct description for the image above:

a)

If AB is a diameter of the circle with centre O, then angle P will not be a right angle.

b)

If AB is a radius of the circle with centre O, then angle P will be a right angle.

c)

If AB is a diameter of the circle with centre O, then angle P will be a right angle.

d)

None of the above

35.

What is the measure of ∠TUS?

a)

38⁰

b)

19⁰

c)

76⁰

d)

90⁰

36.

What is measure of ∠RST?

a)

86°

b)

43°

c)

172°

d)

90°